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Every finite-dimensional central simple algebra over a field K becomes isomorphic to a matrix algebra after extending scalars to an algebraic closure of K.
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Every finite-dimensional central simple algebra over a field K becomes isomorphic to a matrix algebra after extending scalars to an algebraic closure of K.
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Related words
central simple algebra
Noun
Japanese Meaning
ある体 K 上の有限次元な結合代数で、単純代数(非自明な二重イデアルを持たない代数)であり、その中心がちょうど K であるもの。
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